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Finding the Fourth Proportional to 98.53, 147.80 and 26.39

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Solution

The fourth proportional to 98.53, 147.80 and 26.39 is: 39.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.53 : 147.80 = 26.39 : x
  2. Step 2: Convert to fraction form
    98.53/147.80 = 26.39/x
  3. Step 3: Cross multiply
    98.53x = 147.80 × 26.39
  4. Step 4: Simplify right side
    98.53x = 3,900.31
  5. Step 5: Solve for x
    x = 3,900.31/98.53
  6. Step 6: Final answer
    x = 39.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.